Question

Which graph represents the system of inequalities?
{3x+5y≤10x
−y<−1

Answer 1

The above answer is wrong, I'm doing this test currently and did the math to find the correct answer.

Picture shows the correct answer <3

Answer 2

The graph in the attached figure

Explanation:

we have

`3x+5y\leq 10` ----> inequality A

The solution of the inequality A is the shaded area below the solid line
`3x+5y=10`

The slope of the solid line is negative

The y-intercept of the solid line is (0,2)

The x-intercept of the solid line is (3.3,0)

`x-y < -1` ----> inequality B

Multiply by -a both sides

`-x+y > 1`

The solution of the inequality B is the shaded area above the dashed line
`-x+y=1`

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,1)

The x-intercept of the dashed line is (-1,0)

using a graphing tool

The solution of the system of inequalities is the shaded area

see the attached figure